Question

You're at a clothing store that dyes your clothes while you wait. You get to pick from

44

4

4

pieces of clothing (shirt, pants, socks, or hat) and 3 colors (purple, blue, or orange).

If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with socks that aren't blue?

Answer 1

Given:

Number of types of pieces of clothing = 4

Shirt , pants, socks, hat.

To Find:

What is the probability that you'll end up with socks that aren't blue.

Solution:

• Since we have 4 pieces of clothing to choose from, assume that each piece have equal probability of getting chosen.
• P( choosing Socks) = 1/4

• From practical knowledge we can see that both the events are independent.
• P(choosig socks not blue) = P(socks)xP(not blue)

Probability of choosing each colors will be equal.

• P(choosing blue) = 1/3
• P(not choosing blue) = 1 - 1/3 = 2/3
• P(choosing socks not blue) = 1/4 x 2/3 = 1/6

The probability that you'll end up with socks that aren't blue is 1/6.